Cover Image
Read Now

Uniqueness and Non-Uniqueness of Semigroups Generated by Singular Diffusion Operators

This book addresses both probabilists working on diffusion processes and analysts interested in linear parabolic partial differential equations with singular coefficients. The central question discussed is whether a given diffusion operator, i.e., a second order linear differential operator without...

Full description

Bibliographic Details
Main Author: Eberle, Andreas
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 1999, 1999
Edition:1st ed. 1999
Series:Lecture Notes in Mathematics
Subjects:
Group Theory And Generalizations
Group Theory
Probability Theory
Potential Theory (mathematics)
Differential Equations
Potential Theory
Probabilities
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
LEADER 02080nmm a2200349 u 4500
001 EB000658333
003 EBX01000000000000000511415
005 00000000000000.0
007 cr|||||||||||||||||||||
008 140122 ||| eng
020 |a 9783540480761 
100 1 |a Eberle, Andreas 
245 0 0 |a Uniqueness and Non-Uniqueness of Semigroups Generated by Singular Diffusion Operators  |h Elektronische Ressource  |c by Andreas Eberle 
250 |a 1st ed. 1999 
260 |a Berlin, Heidelberg  |b Springer Berlin Heidelberg  |c 1999, 1999 
300 |a VIII, 268 p  |b online resource 
505 0 |a Motivation and basic definitions: Uniqueness problems in various contexts -- L p uniqueness in finite dimensions -- Markov uniqueness -- Probabilistic aspects of L p and Markov uniqueness -- First steps in infinite dimensions 
653 |a Group Theory and Generalizations 
653 |a Group theory 
653 |a Probability Theory 
653 |a Potential theory (Mathematics) 
653 |a Differential Equations 
653 |a Potential Theory 
653 |a Differential equations 
653 |a Probabilities 
041 0 7 |a eng  |2 ISO 639-2 
989 |b SBA  |a Springer Book Archives -2004 
490 0 |a Lecture Notes in Mathematics 
028 5 0 |a 10.1007/BFb0103045 
856 4 0 |u https://doi.org/10.1007/BFb0103045?nosfx=y  |x Verlag  |3 Volltext 
082 0 |a 519.2 
520 |a This book addresses both probabilists working on diffusion processes and analysts interested in linear parabolic partial differential equations with singular coefficients. The central question discussed is whether a given diffusion operator, i.e., a second order linear differential operator without zeroth order term, which is a priori defined on test functions over some (finite or infinite dimensional) state space only, uniquely determines a strongly continuous semigroup on a corresponding weighted Lp space. Particular emphasis is placed on phenomena causing non-uniqueness, as well as on the relation between different notions of uniqueness appearing in analytic and probabilistic contexts 

Similar Items